On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum

Standard

On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum. / Morando, A.; Secchi, P.; Trakhinin, Y. et al.

In: Journal of Physics: Conference Series, Vol. 1666, No. 1, 012053, 20.11.2020.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Morando, A, Secchi, P, Trakhinin, Y & Trebeschi, P 2020, 'On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum', Journal of Physics: Conference Series, vol. 1666, no. 1, 012053. https://doi.org/10.1088/1742-6596/1666/1/012053

APA

Morando, A., Secchi, P., Trakhinin, Y., & Trebeschi, P. (2020). On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum. Journal of Physics: Conference Series, 1666(1), [012053]. https://doi.org/10.1088/1742-6596/1666/1/012053

Vancouver

Morando A, Secchi P, Trakhinin Y, Trebeschi P. On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum. Journal of Physics: Conference Series. 2020 Nov 20;1666(1):012053. doi: 10.1088/1742-6596/1666/1/012053

Author

Morando, A. ; Secchi, P. ; Trakhinin, Y. et al. / On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum. In: Journal of Physics: Conference Series. 2020 ; Vol. 1666, No. 1.

BibTeX

@article{27f4cdbdaf4b44c18aa45ce1fcfeff15,

title = "On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum",

abstract = "We consider the plasma-vacuum interface problem in ideal incompressible magneto-hydrodynamics. Unlike the classical statement when the vacuum magnetic field obeys the div-curl system of pre-Maxwell dynamics, to better understand the influence of the electric field in vacuum we do not neglect the displacement current in the vacuum region and consider the Maxwell equations for electric and magnetic fields. Under the necessary and sufficient stability condition for a planar interface found earlier by Trakhinin, we prove an energy a priori estimate for the linearized constant coefficient problem. The process of derivation of this estimate is based on various methods, including a secondary symmetrization of the vacuum Maxwell equations, the derivation of a hyperbolic evolutionary equation for the interface function and the construction of a degenerate Kreiss-type symmetrizer for an elliptic-hyperbolic problem for the total pressure.",

author = "A. Morando and P. Secchi and Y. Trakhinin and P. Trebeschi",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics ; Conference date: 07-09-2020 Through 11-09-2020",

year = "2020",

month = nov,

day = "20",

doi = "10.1088/1742-6596/1666/1/012053",

language = "English",

volume = "1666",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum

AU - Morando, A.

AU - Secchi, P.

AU - Trakhinin, Y.

AU - Trebeschi, P.

PY - 2020/11/20

Y1 - 2020/11/20

N2 - We consider the plasma-vacuum interface problem in ideal incompressible magneto-hydrodynamics. Unlike the classical statement when the vacuum magnetic field obeys the div-curl system of pre-Maxwell dynamics, to better understand the influence of the electric field in vacuum we do not neglect the displacement current in the vacuum region and consider the Maxwell equations for electric and magnetic fields. Under the necessary and sufficient stability condition for a planar interface found earlier by Trakhinin, we prove an energy a priori estimate for the linearized constant coefficient problem. The process of derivation of this estimate is based on various methods, including a secondary symmetrization of the vacuum Maxwell equations, the derivation of a hyperbolic evolutionary equation for the interface function and the construction of a degenerate Kreiss-type symmetrizer for an elliptic-hyperbolic problem for the total pressure.

AB - We consider the plasma-vacuum interface problem in ideal incompressible magneto-hydrodynamics. Unlike the classical statement when the vacuum magnetic field obeys the div-curl system of pre-Maxwell dynamics, to better understand the influence of the electric field in vacuum we do not neglect the displacement current in the vacuum region and consider the Maxwell equations for electric and magnetic fields. Under the necessary and sufficient stability condition for a planar interface found earlier by Trakhinin, we prove an energy a priori estimate for the linearized constant coefficient problem. The process of derivation of this estimate is based on various methods, including a secondary symmetrization of the vacuum Maxwell equations, the derivation of a hyperbolic evolutionary equation for the interface function and the construction of a degenerate Kreiss-type symmetrizer for an elliptic-hyperbolic problem for the total pressure.

UR - http://www.scopus.com/inward/record.url?scp=85097060838&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1666/1/012053

DO - 10.1088/1742-6596/1666/1/012053

M3 - Conference article

AN - SCOPUS:85097060838

VL - 1666

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012053

T2 - 9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics

Y2 - 7 September 2020 through 11 September 2020

ER -

ID: 26204294